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Finding the Fourth Proportional to 537,284.07, 805,754.88 and 177,387.84

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Solution

The fourth proportional to 537,284.07, 805,754.88 and 177,387.84 is: 266,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,284.07 : 805,754.88 = 177,387.84 : x
  2. Step 2: Convert to fraction form
    537,284.07/805,754.88 = 177,387.84/x
  3. Step 3: Cross multiply
    537,284.07x = 805,754.88 × 177,387.84
  4. Step 4: Simplify right side
    537,284.07x = 142,931,117,732.66
  5. Step 5: Solve for x
    x = 142,931,117,732.66/537,284.07
  6. Step 6: Final answer
    x = 266,025.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.